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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)
9 Months Ended
Jun. 30, 2020
Sep. 30, 2019
Other intangible assets    
Amortized intangible assets, carrying amount $ 790,200,000 $ 453,500,000
Amortized intangible assets, accumulated amortization 343,200,000 303,100,000
Amortized intangible assets, net 447,000,000.0 150,400,000
Total, carrying amount 833,900,000 497,200,000
Total, net 490,700,000 194,100,000
Goodwill and Other Intangible Assets (Textual) [Abstract]    
Estimated amortization expense in 2020 50,500,000  
Estimated amortization expense in 2021 53,500,000  
Estimated amortization expense in 2022 50,600,000  
Estimated amortization expense in 2023 49,400,000  
Estimated amortization expense in 2024 46,400,000  
Asset impairment charges 0  
Trademarks    
Indefinite-lived Intangible Assets [Line Items]    
Allen-Bradley® trademark not subject to amortization 43,700,000 43,700,000
Computer software products    
Other intangible assets    
Amortized intangible assets, carrying amount 192,300,000 190,600,000
Amortized intangible assets, accumulated amortization 135,900,000 128,300,000
Amortized intangible assets, net 56,400,000 62,300,000
Customer relationships    
Other intangible assets    
Amortized intangible assets, carrying amount 348,500,000 110,500,000
Amortized intangible assets, accumulated amortization 85,000,000.0 69,200,000
Amortized intangible assets, net 263,500,000 41,300,000
Technology    
Other intangible assets    
Amortized intangible assets, carrying amount 164,500,000 110,400,000
Amortized intangible assets, accumulated amortization 79,500,000 69,500,000
Amortized intangible assets, net 85,000,000.0 40,900,000
Trademarks    
Other intangible assets    
Amortized intangible assets, carrying amount 70,900,000 31,400,000
Amortized intangible assets, accumulated amortization 29,500,000 26,400,000
Amortized intangible assets, net 41,400,000 5,000,000.0
Other    
Other intangible assets    
Amortized intangible assets, carrying amount 14,000,000.0 10,600,000
Amortized intangible assets, accumulated amortization 13,300,000 9,700,000
Amortized intangible assets, net $ 700,000 $ 900,000